We're dividing 768734 by 71 
We want to divide 768734 by 71.

Going ahead to step 1:
If we divide 7 by 71, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 71

Let's proceed to step 2:
71 goes into 76 1 times with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 71 from 76, we get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 71

Step 3:
58 divided by 71 is 0 with a remainder of 58.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we subtract 0 from 58, we get 58.
Fetch the next digit (7) from the dividend, attach it to 58 and continue: 587 / 71

Moving on to step 4:
If we divide 587 by 71, we get 8 and a remainder of 19.
The next digit of our result is 8. 
Result so far: 108.0
Subtracting 568 from 587 leaves us with 19.
Take the next digit (3) from the dividend and append it to 19, then repeat: 193 / 71

Advancing to step 5:
71 goes into 193 2 times with a remainder of 51.
The number 2 becomes the next digit in our result. 
Result so far: 1082.0
Deduct 142 from 193 and we're left with 51.
Fetch the next digit (4) from the dividend, attach it to 51 and continue: 514 / 71

On to step 6:
The number 71 fits into 514 7 times, leaving a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 10827.0
If we take 497 away from 514, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 7:
If we divide 170 by 71, we get 2 and a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 10827.2
If we take 142 away from 170, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 8:
71 can be fit into 280 3 times, resulting in a remainder of 67.
Put 3 as the next digit of the answer. 
Result so far: 10827.23
If we take 213 away from 280, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 9:
The number 71 fits into 670 9 times, leaving a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 10827.239
The remainder is 31 after subtracting 639 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 10:
71 can be fit into 310 4 times, resulting in a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 10827.2394
If we subtract 284 from 310, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 11:
The number 71 fits into 260 3 times, leaving a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 10827.23943
Subtract 213 from 260 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 12:
If we divide 470 by 71, we get 6 and a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 10827.239436
The remainder is 44 after subtracting 426 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 13:
If we divide 440 by 71, we get 6 and a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 10827.2394366
If we take 426 away from 440, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 10827.2394366, and the remainder is 1.4e-07.